Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The resultant of several homogeneous polynomials in two indeterminates


Author: Kunio Kakié
Journal: Proc. Amer. Math. Soc. 54 (1976), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1976-0387256-5
MathSciNet review: 0387256
Full-text PDF Free Access

Abstract | References | Additional Information

Abstract: We give one method of determining the degree of the highest common factor of several homogeneous polynomials in two indeterminates.


References [Enhancements On Off] (What's this?)

  • [1] Kunio Kakié, On involutive systems of partial differential equations in two independent variables, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 21 (1974), 405–433. MR 0361393
  • [2] J. M. Thomas, Differential systems, Amer. Math. Soc. Colloq. Publ., vol. 21, Amer. Math. Soc., Providence, R. I., 1937.
  • [3] Bartel Leendert van der Waerden, Moderne Algebra, J. Springer, Berlin, 1940 (German). MR 0002841
  • [4] Robert J. Walker, Algebraic Curves, Princeton Mathematical Series, vol. 13, Princeton University Press, Princeton, N. J., 1950. MR 0033083


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0387256-5
Keywords: Polynomials, (highest) common factor, resultant
Article copyright: © Copyright 1976 American Mathematical Society